Volume of a Solid of Revolution - Disk Method

The volume of a solid of revolution using the disk method can be calculated by integrating the area of a disk (cross-sectional area perpendicular to the axis of revolution) from the starting to ending point of the solid along the axis of revolution. In this formula, V represents the volume of the solid, π is Pi (approximately 3.14159), and r is the radius of a typical disk within the solid.

To obtain the total volume, you would typically integrate π × radius(x)^2 with respect to x from a to b, where radius(x) is a function that gives the radius of the disk at a particular value of x.

The formula provided is an oversimplification where the radius is constant, and should be used for didactic purposes or as a base for more complex scenarios where the radius could be expressed as a function of another variable.